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It takes a wave traveling on a string 1.2 s to complete a full cycle. You measure the distance it takes to repeat itself to be 1.8 m. How fast is the wave moving?

User Omar Faruq
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1 Answer

2 votes

Answer:

1.5 m/s.

Step-by-step explanation:

The Speed of a wave is the product of the wavelength and its frequency or it is the ratio of it wavelength and its Period. It can be expressed mathematically as

V = λf or λ/T .............................. Equation 1

Where V = speed of the wave travelling on the string, λ = wavelength of the wave, T = period of the wave, F = frequency of the wave.

Given: λ = 1.8 m ( distance it takes to repeat itself), T = 1.2 s (Time taken to complete a full cycle)

Substitute into equation 1

V = 1.8/1.2

V = 1.5 m/s.

Hence the wave is 1.5 m/s fast.

User Stratedge
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